Fractional Tikhonov regularization for linear discrete ill-posed problems

From MaRDI portal
Publication:533711

DOI10.1007/s10543-011-0313-9zbMath1215.65075OpenAlexW2168246956MaRDI QIDQ533711

Michiel E. Hochstenbach, Lothar Reichel

Publication date: 4 May 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0313-9




Related Items (44)

A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinderFractional Tikhonov regularization with a nonlinear penalty termRegularization of the fractional Rayleigh-Stokes equation using a fractional Landweber methodAn implementable splitting algorithm for the \(\ell_1\)-norm regularized split feasibility problemStationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equationFractional Tikhonov regularization to improve the performance of extreme learning machinesA Tikhonov regularization method for solving a backward time-space fractional diffusion problemOn an initial inverse problem for a diffusion equation with a conformable derivativeA Fractional Inpainting Model Based on the Vector-Valued Cahn--Hilliard EquationTwo regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operatorOn a fractional backward heat conduction problem: application to deblurringReconstructing the right-hand side of the Rayleigh-Stokes problem with nonlocal in time conditionFractional Tikhonov regularization method in Hilbert scalesA modified iterative regularization method for ill-posed problemsTwo fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equationOn an iterative fractional Tikhonov-Landweber method for ill-posed problemsThe fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equationProjection method for fractional Lavrentiev regularisation method in Hilbert scalesDetermining the initial distribution in space-fractional diffusion by a negative exponential regularization methodFinite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principleLimited‐memory polynomial methods for large‐scale matrix functionsComputation of control for linear approximately controllable system using weighted Tikhonov regularizationLocal regularization of linear inverse problems via variational filteringA class of parameter choice strategies for the finite dimensional weighted Tikhonov regularization schemeTwo regularization methods for identifying the source term of Caputo–Hadamard time‐fractional diffusion equationA fractional Landweber method for solving backward time-fractional diffusion problemA novel fractional Tikhonov regularization coupled with an improved super-memory gradient method and application to dynamic force identification problemsIterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equationConvergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty termSome novel linear regularization methods for a deblurring problemSolving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization methodFractional regularization matrices for linear discrete ill-posed problemsA class of parameter choice rules for stationary iterated weighted Tikhonov regularization schemeA regularization framework for mildly ill-posed problems connected with pseudo-differential operatorOn a weighted time-fractional asymptotical regularization methodUnnamed ItemThe parameter choice rules for weighted Tikhonov regularization schemeRecovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional spaceFractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional spaceDiscrepancy principles for fractional Tikhonov regularization method leading to optimal convergence ratesAn extension of the Landweber regularization for a backward time fractional wave problemA new interpretation of (Tikhonov) regularizationFractional Landweber method for an initial inverse problem for time-fractional wave equationsLavrentiev-type regularization methods for Hermitian problems


Uses Software


Cites Work


This page was built for publication: Fractional Tikhonov regularization for linear discrete ill-posed problems